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Finding the Fourth Proportional to 31,990.80, 47,989.14 and 8,298.30

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Solution

The fourth proportional to 31,990.80, 47,989.14 and 8,298.30 is: 12,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.80 : 47,989.14 = 8,298.30 : x
  2. Step 2: Convert to fraction form
    31,990.80/47,989.14 = 8,298.30/x
  3. Step 3: Cross multiply
    31,990.80x = 47,989.14 × 8,298.30
  4. Step 4: Simplify right side
    31,990.80x = 398,228,280.46
  5. Step 5: Solve for x
    x = 398,228,280.46/31,990.80
  6. Step 6: Final answer
    x = 12,448.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.